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Finding the Third Proportional to 453,699 and 696,409.88

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Solution

The third proportional to 453,699 and 696,409.88 is: 1,068,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,699 : 696,409.88 = 696,409.88 : x
  2. Step 2: Convert to fraction form
    453,699/696,409.88 = 696,409.88/x
  3. Step 3: Cross multiply
    453,699x = 696,409.88 × 696,409.88
  4. Step 4: Simplify right side
    453,699x = 484,986,713,997.52
  5. Step 5: Solve for x
    x = 484,986,713,997.52/453,699
  6. Step 6: Final answer
    x = 1,068,961.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.